| Issue |
Math. Model. Nat. Phenom.
Volume 7, Number 3, 2012
Epidemiology
|
|
|---|---|---|
| Page(s) | 253 - 262 | |
| DOI | https://doi.org/10.1051/mmnp/20127315 | |
| Published online | 06 June 2012 | |
Modeling Adaptive Behavior in Influenza Transmission
Key Laboratory of Eco-environments in Three Gorges Reservoir
Region, School of Mathematics and Statistics, Southwest University,
Chongqing, 400715, P. R.
China
⋆ Corresponding author. E-mail: wendi@swu.edu.cn
Contact behavior plays an important role in influenza transmission. In the progression of influenza spread, human population reduces mobility to decrease infection risks. In this paper, a mathematical model is proposed to include adaptive mobility. It is shown that the mobility response does not affect the basic reproduction number that characterizes the invasion threshold, but reduces dramatically infection peaks, or removes the peaks. Numerical calculations indicate that the mobility response can provide a very good protection to susceptible individuals, and a combination of mobility response and treatment is an effective way to control influenza outbreak.
Mathematics Subject Classification: 34D20 / 92D30
Key words: mobility / response / pattern / stability
© EDP Sciences, 2012
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